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Finding the Third Proportional to 4,158.75 and 4,563.75

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Solution

The third proportional to 4,158.75 and 4,563.75 is: 5,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.75 : 4,563.75 = 4,563.75 : x
  2. Step 2: Convert to fraction form
    4,158.75/4,563.75 = 4,563.75/x
  3. Step 3: Cross multiply
    4,158.75x = 4,563.75 × 4,563.75
  4. Step 4: Simplify right side
    4,158.75x = 20,827,814.06
  5. Step 5: Solve for x
    x = 20,827,814.06/4,158.75
  6. Step 6: Final answer
    x = 5,008.19

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.